For the equation 2(x−5)=9−3x+6+8+3x+7
, the left side of the equation can be simplified by using the Distributive Property, and the right side of the equation can be simplified by combining like terms. (2 points)
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Simplify the right side of the equation:
Simplify the left side of the equation:
Simplify the right side of the equation:
9−3x+6+8+3x+7 = 20
Simplify the left side of the equation:
2(x−5) = 2x - 10
Jill solves the equation 3(x−5)+2x=0
. Fill in the blanks with the correct values:(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
3x+
Response area +2x=0
5x=
Response area
x=
Response area
3x + 2x = 0
5x = 0
x = 0
To simplify the right side of the equation, we need to combine like terms:
9 - 3x + 6 + 8 + 3x + 7
Combining the like terms, we have:
(9 + 6 + 8 + 7) - 3x + 3x
Simplifying further:
30 - 3x + 3x
The x terms cancel each other out, leaving us with:
30
Now let's simplify the left side of the equation using the Distributive Property:
2(x - 5)
Using the Distributive Property, we have:
2 * x - 2 * 5
Simplifying further:
2x - 10
To simplify the right side of the equation, we need to combine like terms. This means adding or subtracting terms that have the same variable and exponent.
So for the right side of the equation 9-3x+6+8+3x+7, we can combine the constant terms (9, 6, 8, 7) to get 30.
Next, we can combine the terms with the variable "x". The terms -3x and 3x cancel each other out, leaving us with 0x.
Therefore, the simplified right side of the equation is 30.
To simplify the left side of the equation 2(x-5), we can use the distributive property. The distributive property states that when you have a term outside parentheses multiplied by a sum inside the parentheses, you can distribute the term to each term inside the parentheses.
In this case, we have 2 multiplied by the expression (x-5). Distributing 2 to each term inside the parentheses, we get 2x - 10.
Therefore, the simplified left side of the equation is 2x - 10.